113621193504 has 864 divisors, whose sum is σ = 436071242880. Its totient is φ = 28298170368.

The previous prime is 113621193443. The next prime is 113621193547. The reversal of 113621193504 is 405391126311.

113621193504 is a `hidden beast` number, since 1 + 1 + 3 + 62 + 1 + 1 + 93 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×113621193504² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 363006852 + ... + 363007164.

Almost surely, 2^113621193504 is an apocalyptic number.

113621193504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113621193504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218035621440).

113621193504 is an abundant number, since it is smaller than the sum of its proper divisors (322450049376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113621193504 is an equidigital number, since it uses as much as digits as its factorization.

113621193504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 113621193504 in words is "one hundred thirteen billion, six hundred twenty-one million, one hundred ninety-three thousand, five hundred four".